| 广义Bethe树上奇偶马尔可夫链场上的若干极限性质 |
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| 引用本文： | 马丽娜.广义Bethe树上奇偶马尔可夫链场上的若干极限性质[J].纯粹数学与应用数学,2007,23(4):549-555. |
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| 作者姓名： | 马丽娜 |
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| 作者单位： | 天津商业大学理学院,天津,300134 |
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| 摘 要： | 通过构造两个非负鞅证明了一个强极限定理,然后把它应用到本文所定义的广义Bethe树上的奇偶马尔可夫链场上,从而获得了此马氏链场上的一类强极限定理.
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| 关 键 词： | 强极限定理 广义Bethe树 奇偶马尔可夫链场 |
| 文章编号： | 1008-5513（2007）04-0549-07 |
| 收稿时间： | 2005-12-25 |
Some limit properties for even-odd Markov chain fields indexed by generalized Bethe tree |
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| MG Lina.Some limit properties for even-odd Markov chain fields indexed by generalized Bethe tree[J].Pure and Applied Mathematics,2007,23(4):549-555. |
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| Authors: | MG Lina |
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| Abstract: | First, a strong limit theorem is proved by constructing two nonnegative martingales. Then it is applied to the study of even-odd Markov chain field defined in the paper. Therefore, some strong limit theorems for Markov chain field are obtained. |
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| Keywords: | strong limit theorem generalized Bethe tree even-odd Markov chain fields |
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